

Compound Continuously
Presentation
•
Mathematics
•
8th - 12th Grade
•
Practice Problem
•
Medium
Standards-aligned
Willie Daniely
Used 6+ times
FREE Resource
3 Slides • 20 Questions
1
Multiple Choice
Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded continuously. What will be his balance after 15 years?
$141,962.02
$831.10
$839.93
$846.80
2
Multiple Choice
3
Multiple Choice
You invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years.
$1,923.23
$10,138.07
$6,701.28
$800.26
4
Multiple Choice
Hugo opened a savings account and deposited $800 as principal. The account earns 4% interest, compounded continuously. What is the balance after 5 years?
$832.00
$977.12
$973.32
$960.00
5
Multiple Choice
Travis earned $180.72 doing odd jobs last summer and put it in a saving account that earns 15% interest compounded continuously. If he doesn't touch his money for 8 years, how much will he have?
$400
$500
$553
$600
6
What is Continuous Interest?
7
What is Continuous Interest?
8
Example:
9
Multiple Choice
Anthony deposits $1000 in an account that pays 1.25% interest compounded continuously. How much will be in his account after 3 years?
$1014.67
$1038.21
$2,003.11
$42521.08
10
Multiple Choice
11
Multiple Choice
If $7000 is invested at a continuously compounded interest rate of 6% for 5 years, what will be the total amount?
The total amount will be $8000.
The total amount will be $10000.
The total amount will be $7000.
The total amount will be $9313.94.
12
Multiple Choice
13
Multiple Choice
What does the P stand for in this formula?
Initial amount
Final amount
Rate
Time
The number of times compounded per year.
14
Multiple Choice
Which formula is shown?
Monthly compounded interest formula
Annually compounded interest formula
Continuously compounded interest formula
Simple interest formula
15
Multiple Choice
What does the r stand for in this formula?
Rate as a percent
Rate as a decimal
number of times interest is compounded
16
Multiple Choice
What does the t stand for in this formula?
time in weeks
time in months
time in years
the number of times interest is compounded per year
17
Multiple Choice
18
Fill in the Blanks
Type answer...
19
Fill in the Blanks
Type answer...
20
Fill in the Blanks
Type answer...
21
Multiple Choice
Willie invests $8,515 in a retirement account with a fixed annual interest rate of 5% compounded continuously. What will the account balance be after 20 years?
$22,017.32
$23,146.17
$20,021.95
$20,943.52
22
Multiple Choice
Jessica invests $3,948 in a savings account with a fixed annual interest rate of 9% compounded continuously. What will the account balance be after 11 years?
$8,786.44
$10,056.40
$10,624.99
$8,357.92
23
Multiple Choice
Adam invests $5,208 in a savings account with a fixed annual interest rate of 8% compounded continuously. What will the account balance be after 8 years?
$9,876.87
$10,699.49
$9,489.59
$8,803.91
Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded continuously. What will be his balance after 15 years?
$141,962.02
$831.10
$839.93
$846.80
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MULTIPLE CHOICE
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